Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200t |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-348966092800 = -1 · 230 · 52 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2088,45748] |
[a1,a2,a3,a4,a6] |
j |
-9836106385/3407872 |
j-invariant |
L |
1.8078043612158 |
L(r)(E,1)/r! |
Ω |
0.90390218060791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
650b1 20800df1 46800dp1 5200bj1 |
Quadratic twists by: -4 8 -3 5 |